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Finding the Fourth Proportional to 3,932.31, 5,421.16 and 3,138.31

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Solution

The fourth proportional to 3,932.31, 5,421.16 and 3,138.31 is: 4,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.31 : 5,421.16 = 3,138.31 : x
  2. Step 2: Convert to fraction form
    3,932.31/5,421.16 = 3,138.31/x
  3. Step 3: Cross multiply
    3,932.31x = 5,421.16 × 3,138.31
  4. Step 4: Simplify right side
    3,932.31x = 17,013,280.64
  5. Step 5: Solve for x
    x = 17,013,280.64/3,932.31
  6. Step 6: Final answer
    x = 4,326.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.